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Finding the Fourth Proportional to 441.32, 660.62 and 286.91

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Solution

The fourth proportional to 441.32, 660.62 and 286.91 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 660.62 = 286.91 : x
  2. Step 2: Convert to fraction form
    441.32/660.62 = 286.91/x
  3. Step 3: Cross multiply
    441.32x = 660.62 × 286.91
  4. Step 4: Simplify right side
    441.32x = 189,538.38
  5. Step 5: Solve for x
    x = 189,538.38/441.32
  6. Step 6: Final answer
    x = 429.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.